/* Murad Eynizade */
#include <bits/stdc++.h>
#define int long long
#define FAST_READ ios_base::sync_with_stdio(0);cin.tie(0);
#define SIZE 100001
#define INF INT_MAX
#define F first
#define S second
#define in(a) scanf("%d",&a);
#define outn(a) printf("%d\n",&a);
#define outs(a) printf("%d ",&a);
#define LOG 18
using namespace std;
int n , m , w , d[SIZE] , sze[SIZE] , par[SIZE] , lvl[SIZE] , p[SIZE][LOG] , q , ans , val[SIZE][LOG];
vector< pair<int,int> >v[SIZE];
vector< pair< int , pair<int,int> > >edges;
priority_queue< pair<int,int> >pq;
void init() {
for (int i = 1;i<SIZE;i++) {
d[i] = INF;
sze[i] = 1;
par[i] = i;
}
}
void dijkstra() {
while (!pq.empty()) {
int u = pq.top().S, dd = pq.top().F; pq.pop();
if (dd != -d[u]) continue;
for (auto i : v[u]) {
int to = i.first , we = i.second;
if (d[to] > d[u] + we) {
//cout<<to<<" "<<d[to]<<endl;
//cout<<u<<" "<<d[u]<<endl;
//cout<<we<<endl;
//char aa;
//cin>>aa;
d[to] = d[u] + we;
pq.push({-d[to] , to});
}
}
}
}
int find_root(int a) {
if (a == par[a]) return a;
return par[a] = find_root(par[a]);
}
void dfs(int s,int pa,int l) {
lvl[s] = l;
p[s][0] = pa;
val[s][0] = d[s];
for (auto i : v[s]) {
int to = i.F;
if (to == pa)continue;
dfs(to,s,l + 1);
}
}
int lg(int x) {
int ret = 0;
while (x > 1) {
ret++;
x /= 2;
}
return ret;
}
int lca(int x,int y) {
if (lvl[x] < lvl[y])swap(x,y);
while (lvl[x] != lvl[y]) {
int dist = lvl[x] - lvl[y];
int lg2 = lg(dist);
ans = min(ans , val[x][lg2]);
x = p[x][lg2];
ans = min(ans,d[x]);
}
if (x == y)return ans;
for (int i = LOG - 1;i >= 0;i--) {
if (p[x][i] != p[y][i]) {
ans = min(ans , val[x][i]);
x = p[x][i];
ans = min(ans,d[x]);
ans = min(ans , val[y][i]);
y = p[y][i];
ans = min(ans,d[y]);
}
}
return min(ans,val[p[x][0]][0]);
}
int x,y;
main()
{
FAST_READ;
init();
cin>>n>>m;
while (m--) {
cin>>x>>y>>w;
v[x].push_back({y,w});
v[y].push_back({x,w});
edges.push_back({-1,{x,y}});
}
cin>>m;
while (m--) {
cin>>x;
d[x] = 0;
pq.push({0,x});
}
dijkstra();
for (int i = 0;i<edges.size();i++) {
edges[i].F = -min(d[edges[i].S.F] , d[edges[i].S.S]);
}
sort(edges.begin(),edges.end());
int co = 0;
//for (int i = 1;i<=n;i++)cout<<i<<" "<<d[i]<<endl;
for (int i = 1;i<=n;i++) v[i].clear();
for (auto i : edges) {
int roota = find_root(i.S.F);
int rootb = find_root(i.S.S);
if (roota == rootb) continue;
//cout<<i.S.F<<" "<<i.S.S<<endl;
v[i.S.F].push_back({i.S.S,-1});
v[i.S.S].push_back({i.S.F,-1});
if (sze[i.S.F] < sze[i.S.S]) {
sze[i.S.S] += sze[i.S.F];
par[roota] = rootb;
}
else {
sze[i.S.F] += sze[i.S.S];
par[rootb] = roota;
}
co++;
if (co == n - 1)break;
}
memset(p,-1,sizeof(p));
dfs(1,-1,1);
for (int j = 1;j < LOG;j++) {
for (int i = 1;i<=n;i++) {
if (p[i][j - 1] == -1)p[i][j] = -1;
else p[i][j] = p[p[i][j - 1]][j - 1];
}
}
for (int j = 1;j < LOG;j++) {
for (int i = 1;i<=n;i++) {
if (p[i][j - 1] == -1)val[i][j] = val[i][j - 1];
else val[i][j] = min(val[i][j - 1],val[p[i][j - 1]][j - 1]);
}
}
cin>>q;
while (q--) {
cin>>x>>y;
ans = min(d[x],d[y]);
cout<<lca(x,y)<<endl;
}
return 0;
}
Compilation message
plan.cpp:102:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main()
^
plan.cpp: In function 'int main()':
plan.cpp:120:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0;i<edges.size();i++) {
~^~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
19064 KB |
Output is correct |
2 |
Correct |
22 ms |
19448 KB |
Output is correct |
3 |
Correct |
22 ms |
19320 KB |
Output is correct |
4 |
Correct |
19 ms |
19076 KB |
Output is correct |
5 |
Correct |
22 ms |
19420 KB |
Output is correct |
6 |
Correct |
23 ms |
19320 KB |
Output is correct |
7 |
Correct |
18 ms |
19196 KB |
Output is correct |
8 |
Correct |
19 ms |
19192 KB |
Output is correct |
9 |
Correct |
22 ms |
19320 KB |
Output is correct |
10 |
Correct |
22 ms |
19320 KB |
Output is correct |
11 |
Correct |
23 ms |
19320 KB |
Output is correct |
12 |
Correct |
22 ms |
19320 KB |
Output is correct |
13 |
Correct |
22 ms |
19448 KB |
Output is correct |
14 |
Correct |
22 ms |
19416 KB |
Output is correct |
15 |
Correct |
22 ms |
19320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
19064 KB |
Output is correct |
2 |
Correct |
22 ms |
19448 KB |
Output is correct |
3 |
Correct |
22 ms |
19320 KB |
Output is correct |
4 |
Correct |
19 ms |
19076 KB |
Output is correct |
5 |
Correct |
22 ms |
19420 KB |
Output is correct |
6 |
Correct |
23 ms |
19320 KB |
Output is correct |
7 |
Correct |
18 ms |
19196 KB |
Output is correct |
8 |
Correct |
19 ms |
19192 KB |
Output is correct |
9 |
Correct |
22 ms |
19320 KB |
Output is correct |
10 |
Correct |
22 ms |
19320 KB |
Output is correct |
11 |
Correct |
23 ms |
19320 KB |
Output is correct |
12 |
Correct |
22 ms |
19320 KB |
Output is correct |
13 |
Correct |
22 ms |
19448 KB |
Output is correct |
14 |
Correct |
22 ms |
19416 KB |
Output is correct |
15 |
Correct |
22 ms |
19320 KB |
Output is correct |
16 |
Correct |
508 ms |
39872 KB |
Output is correct |
17 |
Correct |
1012 ms |
75804 KB |
Output is correct |
18 |
Correct |
90 ms |
24616 KB |
Output is correct |
19 |
Correct |
485 ms |
45212 KB |
Output is correct |
20 |
Correct |
1018 ms |
75828 KB |
Output is correct |
21 |
Correct |
694 ms |
53016 KB |
Output is correct |
22 |
Correct |
492 ms |
46640 KB |
Output is correct |
23 |
Correct |
1029 ms |
75744 KB |
Output is correct |
24 |
Correct |
1024 ms |
75744 KB |
Output is correct |
25 |
Correct |
1041 ms |
75828 KB |
Output is correct |
26 |
Correct |
515 ms |
44904 KB |
Output is correct |
27 |
Correct |
495 ms |
44980 KB |
Output is correct |
28 |
Correct |
497 ms |
44820 KB |
Output is correct |
29 |
Correct |
497 ms |
45148 KB |
Output is correct |
30 |
Correct |
503 ms |
45032 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
19192 KB |
Output is correct |
2 |
Correct |
18 ms |
19164 KB |
Output is correct |
3 |
Correct |
19 ms |
19064 KB |
Output is correct |
4 |
Correct |
18 ms |
19064 KB |
Output is correct |
5 |
Correct |
18 ms |
19144 KB |
Output is correct |
6 |
Correct |
18 ms |
19064 KB |
Output is correct |
7 |
Correct |
18 ms |
19064 KB |
Output is correct |
8 |
Correct |
18 ms |
19064 KB |
Output is correct |
9 |
Correct |
18 ms |
19152 KB |
Output is correct |
10 |
Correct |
18 ms |
19064 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
340 ms |
51508 KB |
Output is correct |
2 |
Correct |
669 ms |
75348 KB |
Output is correct |
3 |
Correct |
675 ms |
75472 KB |
Output is correct |
4 |
Correct |
188 ms |
44064 KB |
Output is correct |
5 |
Correct |
666 ms |
75340 KB |
Output is correct |
6 |
Correct |
680 ms |
75316 KB |
Output is correct |
7 |
Correct |
690 ms |
75404 KB |
Output is correct |
8 |
Correct |
668 ms |
75564 KB |
Output is correct |
9 |
Correct |
693 ms |
75408 KB |
Output is correct |
10 |
Correct |
671 ms |
75348 KB |
Output is correct |
11 |
Correct |
666 ms |
75456 KB |
Output is correct |
12 |
Correct |
670 ms |
75396 KB |
Output is correct |
13 |
Correct |
674 ms |
75420 KB |
Output is correct |
14 |
Correct |
680 ms |
75420 KB |
Output is correct |
15 |
Correct |
679 ms |
77512 KB |
Output is correct |
16 |
Correct |
655 ms |
75372 KB |
Output is correct |
17 |
Correct |
677 ms |
75400 KB |
Output is correct |
18 |
Correct |
682 ms |
75560 KB |
Output is correct |
19 |
Correct |
182 ms |
45476 KB |
Output is correct |
20 |
Correct |
681 ms |
75440 KB |
Output is correct |
21 |
Correct |
664 ms |
74804 KB |
Output is correct |
22 |
Correct |
187 ms |
44628 KB |
Output is correct |
23 |
Correct |
206 ms |
42020 KB |
Output is correct |
24 |
Correct |
188 ms |
44664 KB |
Output is correct |
25 |
Correct |
180 ms |
44632 KB |
Output is correct |
26 |
Correct |
201 ms |
42404 KB |
Output is correct |
27 |
Correct |
193 ms |
45340 KB |
Output is correct |
28 |
Correct |
181 ms |
44780 KB |
Output is correct |
29 |
Correct |
201 ms |
44680 KB |
Output is correct |
30 |
Correct |
196 ms |
44632 KB |
Output is correct |
31 |
Correct |
183 ms |
44584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
19064 KB |
Output is correct |
2 |
Correct |
22 ms |
19448 KB |
Output is correct |
3 |
Correct |
22 ms |
19320 KB |
Output is correct |
4 |
Correct |
19 ms |
19076 KB |
Output is correct |
5 |
Correct |
22 ms |
19420 KB |
Output is correct |
6 |
Correct |
23 ms |
19320 KB |
Output is correct |
7 |
Correct |
18 ms |
19196 KB |
Output is correct |
8 |
Correct |
19 ms |
19192 KB |
Output is correct |
9 |
Correct |
22 ms |
19320 KB |
Output is correct |
10 |
Correct |
22 ms |
19320 KB |
Output is correct |
11 |
Correct |
23 ms |
19320 KB |
Output is correct |
12 |
Correct |
22 ms |
19320 KB |
Output is correct |
13 |
Correct |
22 ms |
19448 KB |
Output is correct |
14 |
Correct |
22 ms |
19416 KB |
Output is correct |
15 |
Correct |
22 ms |
19320 KB |
Output is correct |
16 |
Correct |
508 ms |
39872 KB |
Output is correct |
17 |
Correct |
1012 ms |
75804 KB |
Output is correct |
18 |
Correct |
90 ms |
24616 KB |
Output is correct |
19 |
Correct |
485 ms |
45212 KB |
Output is correct |
20 |
Correct |
1018 ms |
75828 KB |
Output is correct |
21 |
Correct |
694 ms |
53016 KB |
Output is correct |
22 |
Correct |
492 ms |
46640 KB |
Output is correct |
23 |
Correct |
1029 ms |
75744 KB |
Output is correct |
24 |
Correct |
1024 ms |
75744 KB |
Output is correct |
25 |
Correct |
1041 ms |
75828 KB |
Output is correct |
26 |
Correct |
515 ms |
44904 KB |
Output is correct |
27 |
Correct |
495 ms |
44980 KB |
Output is correct |
28 |
Correct |
497 ms |
44820 KB |
Output is correct |
29 |
Correct |
497 ms |
45148 KB |
Output is correct |
30 |
Correct |
503 ms |
45032 KB |
Output is correct |
31 |
Correct |
19 ms |
19192 KB |
Output is correct |
32 |
Correct |
18 ms |
19164 KB |
Output is correct |
33 |
Correct |
19 ms |
19064 KB |
Output is correct |
34 |
Correct |
18 ms |
19064 KB |
Output is correct |
35 |
Correct |
18 ms |
19144 KB |
Output is correct |
36 |
Correct |
18 ms |
19064 KB |
Output is correct |
37 |
Correct |
18 ms |
19064 KB |
Output is correct |
38 |
Correct |
18 ms |
19064 KB |
Output is correct |
39 |
Correct |
18 ms |
19152 KB |
Output is correct |
40 |
Correct |
18 ms |
19064 KB |
Output is correct |
41 |
Correct |
340 ms |
51508 KB |
Output is correct |
42 |
Correct |
669 ms |
75348 KB |
Output is correct |
43 |
Correct |
675 ms |
75472 KB |
Output is correct |
44 |
Correct |
188 ms |
44064 KB |
Output is correct |
45 |
Correct |
666 ms |
75340 KB |
Output is correct |
46 |
Correct |
680 ms |
75316 KB |
Output is correct |
47 |
Correct |
690 ms |
75404 KB |
Output is correct |
48 |
Correct |
668 ms |
75564 KB |
Output is correct |
49 |
Correct |
693 ms |
75408 KB |
Output is correct |
50 |
Correct |
671 ms |
75348 KB |
Output is correct |
51 |
Correct |
666 ms |
75456 KB |
Output is correct |
52 |
Correct |
670 ms |
75396 KB |
Output is correct |
53 |
Correct |
674 ms |
75420 KB |
Output is correct |
54 |
Correct |
680 ms |
75420 KB |
Output is correct |
55 |
Correct |
679 ms |
77512 KB |
Output is correct |
56 |
Correct |
655 ms |
75372 KB |
Output is correct |
57 |
Correct |
677 ms |
75400 KB |
Output is correct |
58 |
Correct |
682 ms |
75560 KB |
Output is correct |
59 |
Correct |
182 ms |
45476 KB |
Output is correct |
60 |
Correct |
681 ms |
75440 KB |
Output is correct |
61 |
Correct |
664 ms |
74804 KB |
Output is correct |
62 |
Correct |
187 ms |
44628 KB |
Output is correct |
63 |
Correct |
206 ms |
42020 KB |
Output is correct |
64 |
Correct |
188 ms |
44664 KB |
Output is correct |
65 |
Correct |
180 ms |
44632 KB |
Output is correct |
66 |
Correct |
201 ms |
42404 KB |
Output is correct |
67 |
Correct |
193 ms |
45340 KB |
Output is correct |
68 |
Correct |
181 ms |
44780 KB |
Output is correct |
69 |
Correct |
201 ms |
44680 KB |
Output is correct |
70 |
Correct |
196 ms |
44632 KB |
Output is correct |
71 |
Correct |
183 ms |
44584 KB |
Output is correct |
72 |
Correct |
710 ms |
52076 KB |
Output is correct |
73 |
Correct |
1044 ms |
75824 KB |
Output is correct |
74 |
Correct |
1053 ms |
75836 KB |
Output is correct |
75 |
Correct |
1041 ms |
75960 KB |
Output is correct |
76 |
Correct |
1014 ms |
75716 KB |
Output is correct |
77 |
Correct |
1033 ms |
75844 KB |
Output is correct |
78 |
Correct |
1078 ms |
75760 KB |
Output is correct |
79 |
Correct |
1072 ms |
75876 KB |
Output is correct |
80 |
Correct |
1012 ms |
75880 KB |
Output is correct |
81 |
Correct |
1010 ms |
75808 KB |
Output is correct |
82 |
Correct |
1008 ms |
75776 KB |
Output is correct |
83 |
Correct |
1040 ms |
75748 KB |
Output is correct |
84 |
Correct |
1008 ms |
75760 KB |
Output is correct |
85 |
Correct |
1020 ms |
79836 KB |
Output is correct |
86 |
Correct |
1022 ms |
79028 KB |
Output is correct |
87 |
Correct |
1032 ms |
79296 KB |
Output is correct |
88 |
Correct |
1022 ms |
79300 KB |
Output is correct |
89 |
Correct |
626 ms |
47236 KB |
Output is correct |
90 |
Correct |
1053 ms |
79200 KB |
Output is correct |
91 |
Correct |
1012 ms |
78440 KB |
Output is correct |
92 |
Correct |
490 ms |
46708 KB |
Output is correct |
93 |
Correct |
573 ms |
44416 KB |
Output is correct |
94 |
Correct |
497 ms |
46768 KB |
Output is correct |
95 |
Correct |
513 ms |
46796 KB |
Output is correct |
96 |
Correct |
571 ms |
44620 KB |
Output is correct |
97 |
Correct |
616 ms |
46584 KB |
Output is correct |
98 |
Correct |
496 ms |
46652 KB |
Output is correct |
99 |
Correct |
611 ms |
47588 KB |
Output is correct |
100 |
Correct |
487 ms |
46736 KB |
Output is correct |